True or False questions?

I like how Brilliant have improved these past few months. I would like to add another feature called "True/False questions".

Segregating between true and false propositions allows users to understand the mechanics and avoid misconceptions and faulty generalizations. It also signifies a maturity of understanding of basics of math theory.

For example:

Q1) $\sum_{i=1}^\infty 1/n^{1.2}$ diverge. {+50, -100}

Q2) There are finite prime numbers. {+25, -50}

Q3) $x^2+x+123=0$ has no real solution. {+25, -75}

Q4) $\pi$ is irrational but not transcendental. {+100, -200}

Q5) $\sum_{n=2}^\infty (1 - \frac {1}{n^2} )^{n^2}$ diverges. {+125, -400}

Q6) $(1+2+ \ldots + n)$ divides $(1^3 + 2^3 + \ldots + n^3)$ for all natural numbers $n$. {+125, -400}

Q7) If $a_n \rightarrow 0$, then $\sum_{n=1}^\infty \frac {a_n}{a_n ^2 + n^2}$ converges absolutely. {+175, -1000}

Q8) For all positive integers $n$, integral of $(\sin x)^{n} dx$ from $0$ to $\pi /2$ is always a rational multiple of $\pi$. {+175, -900}

Q9) For all $0 <x< \sqrt{\pi /2}$, $(\sin x)^2 \leq \sin x^2$. {+180, -2000}

Q10) $4^{79} < 2^{100} + 3^{100} < 4^{80}$ is true. {+230, -3000}

If you answered correctly, you get points depending on the difficulty of the problem. You also get your points deducted if you answered wrongly. The simpler the question, the less points you're awarded or deducted, e.g {+100, -100}. However, the harder the problem, there's slight increment of points you're awarded but a much higher deduction of points when you're wrong, e.g {+200, -2500}

Users are not allowed to solve the problem if they don't have sufficient points to be deducted.

Any comments?